Question

Simplify : p+(p-q)+q+(q-p)
tell me fast plz​

Answer 1

Step-by-step explanation:

PLEASE MARK ME BRAINLIST.....

Answer 2

Step-by-step explanation:

Following the BODMAS rules :

B - Bracket

O - Of

D - Division

M- Multiplication

A - Addition

S- Subtraction

It goes on like this

Split the equation into two parts

Part 1 : p + (p-q)

Part 2 : q+(q-p)

Solution for Part 1:

p + (p-q) = p+p-q = 2p-q

Solution for Part 2:

q+( q-p) = q+q-p = 2q -p

Adding the two solutions

2p-q+2q-p = 2p-p+2q-q = p+q

There’s your solution !!

You can do addition and subtraction in any order. So let's remove all the brackets.

p + (p-q) + q + (q-p) = p + p - q + q + q - p

Now let's rearrange these two:

p + p - q + q + q - p

= p - p + p - q + q + q

= 0 + p - q + q + q

We get p - q + q + q.

Now,

p - q + q +q

= p + 0 + q

= p + q

Therefore, answer: p + q.

Hope this helps. :)